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Simplifying -7(8 + 5k) + -8(5k + -3) = 43 (8 * -7 + 5k * -7) + -8(5k + -3) = 43 (-56 + -35k) + -8(5k + -3) = 43 Reorder the terms: -56 + -35k + -8(-3 + 5k) = 43 -56 + -35k + (-3 * -8 + 5k * -8) = 43 -56 + -35k + (24 + -40k) = 43 Reorder the terms: -56 + 24 + -35k + -40k = 43 Combine like terms: -56 + 24 = -32 -32 + -35k + -40k = 43 Combine like terms: -35k + -40k = -75k -32 + -75k = 43 Solving -32 + -75k = 43 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -75k = 43 + 32 Combine like terms: -32 + 32 = 0 0 + -75k = 43 + 32 -75k = 43 + 32 Combine like terms: 43 + 32 = 75 -75k = 75 Divide each side by '-75'. k = -1 Simplifying k = -1
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